Pith Number

pith:VCNUDZWF

pith:2015:VCNUDZWFVX6PUH73HKGUU7BQSN

not attested not anchored not stored refs pending

An immune system-tumour interactions model with discrete time delay: model analysis and validation

Monika Joanna Piotrowska

arxiv:1505.02030 v2 · 2015-05-08 · q-bio.TO · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCNUDZWFVX6PUH73HKGUU7BQSN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:27:54.203828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89b41e6c5adfcfa1ffb3a8d4a7c30937494aded58bf8d4c0e8fdd8968f2490b

Aliases

arxiv: 1505.02030 · arxiv_version: 1505.02030v2 · doi: 10.48550/arxiv.1505.02030 · pith_short_12: VCNUDZWFVX6P · pith_short_16: VCNUDZWFVX6PUH73 · pith_short_8: VCNUDZWF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VCNUDZWFVX6PUH73HKGUU7BQSN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a89b41e6c5adfcfa1ffb3a8d4a7c30937494aded58bf8d4c0e8fdd8968f2490b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b01c8bda918a1af8f1f8427ab19b9e8981f32b0a982675375d802a96c692ff12",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.TO",
    "submitted_at": "2015-05-08T13:24:21Z",
    "title_canon_sha256": "98b390be17e6b77282db60a8ec630e136109fbf376c4cce48f3ff4b77a24384e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02030",
    "kind": "arxiv",
    "version": 2
  }
}